What is the Least Common Multiple of 79805 and 79825?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 79805 and 79825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79805 and 79825, than apply into the LCM equation.

GCF(79805,79825) = 5
LCM(79805,79825) = ( 79805 × 79825) / 5
LCM(79805,79825) = 6370434125 / 5
LCM(79805,79825) = 1274086825

Least Common Multiple (LCM) of 79805 and 79825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79805 and 79825. First we will calculate the prime factors of 79805 and 79825.

Prime Factorization of 79805

Prime Factorization of 79825

Now multiplying the highest exponent prime factors to calculate the LCM of 79805 and 79825.

LCM(79805,79825) = 5² × 11¹ × 1451¹ × 31¹ × 103¹
LCM(79805,79825) = 1274086825